Anthony Knapp（数学解说 Steele 奖得主）写的书真的很棒：《Basic Algebra》《Basic Real Analysis》《Stokes's Theorem and Whitney Manifolds》《Advanced Algebra》《Advanced Real Analysis》，全都可以在 http://www.math.stonybrook.edu/~aknapp/download.html 免费获取
Truly amazing books by Anthony Knapp (winner of Steele Prize for Mathematical Exposition): Basic Algebra Basic Real Analysis Stokes's Theorem and Whitney Manifolds Advanced Algebra Advanced Real Analysis All freely available from http://www.math.stonybrook.edu/~aknapp/download.html
……需要学习或搞懂某个概念时我就会拿来翻翻：> 群论（Group Theory）——我会找一本讲抽象代数且包含群论的好书，比如 Fraleigh 的《A First Course in Abstract Algebra》或者 Knapp 的《Basic Algebra》。另一个热门推荐是 Dummit 和 Foote 的《Abstract Algebra》。> 拓扑（Topology）——我觉得你应该先学一门实分析课程，搞懂欧几里得空间的度量空间拓扑（metric space topology）……
…I've used them when needed to learn or clarify a concept: > Group Theory - I would look for a good abstract algebra book that also covers groups, such as A First Course in Abstract Algebra, Fraleigh or Basic Algebra, Knapp. Another popular recommendation is Abstract Algebra, Dummit and Foote. > Topology I think you should first look at a real analysis course and understand metric space topology for Euclidean spaces.…
Anthony Knapp（数学解说 Steele 奖得主）写的书真的很棒：《Basic Algebra》《Basic Real Analysis》《Stokes's Theorem and Whitney Manifolds》《Advanced Algebra》《Advanced Real Analysis》，全都可以在 http://www.math.stonybrook.edu/~aknapp/download.html 免费获取
Truly amazing books by Anthony Knapp (winner of Steele Prize for Mathematical Exposition): Basic Algebra Basic Real Analysis Stokes's Theorem and Whitney Manifolds Advanced Algebra Advanced Real Analysis All freely available from http://www.math.stonybrook.edu/~aknapp/download.html
……需要学习或搞懂某个概念时我就会拿来翻翻：> 群论（Group Theory）——我会找一本讲抽象代数且包含群论的好书，比如 Fraleigh 的《A First Course in Abstract Algebra》或者 Knapp 的《Basic Algebra》。另一个热门推荐是 Dummit 和 Foote 的《Abstract Algebra》。> 拓扑（Topology）——我觉得你应该先学一门实分析课程，搞懂欧几里得空间的度量空间拓扑（metric space topology）……
…I've used them when needed to learn or clarify a concept: > Group Theory - I would look for a good abstract algebra book that also covers groups, such as A First Course in Abstract Algebra, Fraleigh or Basic Algebra, Knapp. Another popular recommendation is Abstract Algebra, Dummit and Foote. > Topology I think you should first look at a real analysis course and understand metric space topology for Euclidean spaces.…